Answer
Graphing online with desmos.com,
we find that the graph of the LHS
is not equal to the graph of the RHS.
The factorization is incorrect.
The correct factorization is
$2(x-2)(x+3)$
Work Step by Step
Graphing online with desmos.com,
we find that the graph of the LHS
is not equal to the graph of the RHS.
The factorization is incorrect.
Factoring, extract the gcf, 2
$2(x^{2}+x-6)$
Now, search for two factors of -6, whose sum is $+1...$
,,, and find $-2$ and $+3.$
Testing the graph of $2(x-2)(x+3)$, we find that the graphs now coincide.
